Given - 3x² dy dx B) Find the slope of the tangent line drawn to the graph of − 3x² − 2xy + 3y³ = 25 at the point (-1, 2) (Enter an exact value) A) Find m = 2xy + 3y³ = 25

Q: nth derivative of f(x) = 5º? Assume n is a positive integer. What is the n

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Q: 8) The Bernoulli's equation += dz NIH 2 218 I can be reduced to which linear differential equation?…

A: Ode

Q: DETAILS Use the Comparison Theorem to determine whether the integral is convergent or divergent.…

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Q: 17) The expanded form of the differential operator D(rD-1) is a) xD² b) D² - z e) zD² + 1 d) zD² -1

A: Given query is to find expanded form.

Q: f 05 25 2f(x) dx = 4 and O 14 0-4 O-10 | = falde = 61, what 9 f(x)dx?

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Q: Use reference angles to evaluate sec Enter the exact answers. For the number 7, either choose from…

A: Given query is to find the value of the expression.

Q: A graphing calculator is recommended. An oil refinery is located 1 km north of the north bank of a…

A: Let point PP be located 6 - x9−x km from the oil refinery (see diagram ).     Then the cost of…

Q: Convert the equation r= -14 sin 0 to Cartesian coordinates. Describe the resulting curve. Choose the…

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Q: The formula V = kr4 is used to predict how much the radius of a partially clogged artery has to be…

A: Given V = kr4where V = volume of fluid flow k = constant r = radius

Q: Evaluate the line integral, where C is the given curve. 2 xeyz ds, C is the line segment from (0, 0,…

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Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13…

A: We will find the required.

Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

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Q: Find the area under the given curve over the indicated interval. y=x²: [0, 5] The area under the…

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Q: What is the value of the definite integral 8A 4 O 4T O -4T 8 √ √16 √16- x² dx?

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Q: Find the linear approximation to the equation f(x, y) approximate f(6.28, 4.16). f(6.28, 4.16) xy at…

A: Given  fx,y=5xy6 The objective is to find the linear approximation to the equation.

Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: Question 3: Supply the missing constant, k, so that the resulting trinomial is a perfect square.…

A: The given polynomial is:x2-8x+p

Q: this

A: We have to choose the correct option from the given options according to the given information

Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: Find equations of the tangent lines to the curve y = In(x) I at the points (1,0) and (e, 2).

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Q: Find 5 [(7x³ + 3x³) dz

A: use the algebraic property of integrals.

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: Set up the definite integral required to find the area of the region between the graph of y = x² y =…

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Q: Find the area of region enclosed by=t-t², y=t-t³, 0≤t≤1 using Green's Theorem.

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Q: 7 Suppose f(x) dx = 6 and Then 5 12 S™ f(x) dx 5 12 of,"s 7 = f(x) dx = 5.

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Q: If f(x) = x² and g(x) = 0 (6³-a³) O None of these. O2(6²-a²) 026-2a 06² q² what is g(x)da?

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Q: Find the derivative of the function. y' = x cos - x cos-¹(x) y = √1-x² 1- x² -

A: Given that y=1-x2-xcos-1(x)

Q: Suppose that lim = f'(0). Select the correct answer for the limit indicated below. x→0 X f(x) Select…

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Q: Find a power series representation for the function. (Give your power series representation centered…

A: Solve the following

Q: A as it is wishes to manufacture a box with company a volume of 32 ft³ that is open on top and is…

A: Given, Volume of box = 323 ft3 Length is twice of the width. Let, Length of the box = L Width of the…

Q: DIFFERENTIAL EQUATION | COMPLETE THE TABLE Differential Equation (1) 4xy - x³y + y² = x (2) = xy³…

A: To complete the following table of differential equations.

Q: 11 Rewrite sin (x+ 11) in terms of sin a and cos x. Simplify your answer. Enclose arguments of…

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Q: Using the inverse Laplace transform, we have s + 14 s(s+ 2) where c-¹{ L Select one: O f(t) = 7-6e-…

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Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

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Q: 22) Determine the value of f(t)dt given that £15 f(t)dt = -10 and 5,5 f(t)dt = 9.

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Q: Given v(t) = 12t² – 6t + 1 and s(1) = 5 Then the position funciton is s(t) =

A: We have v(t)=12t2-6t+1 and s(1)=5

Q: Match the following functions with the general shape of their graphs. Functions f(x) = ln (x + 2) -…

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Q: The function f(x) - 2x³ + 30x² - 126x + 7 has one local minimum and one local maximum. This function…

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Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the inclined portion of the…

A: Given query is to find indicated angle.

Q: (-3,0) <++++ -10-9-8-7-6- -4-3-2-1 9 Provide your answer below: a 9 00 7 6+ 5+ 3+ 2- 1 -1 3₂ -3- in…

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Q: he function y = omain tercepts ymmetry 2x+3 x+2 do the following.

A: we will find the required.

Q: Consider statements I, II and III below on antiderivatives. I. If we know one antiderivative of a…

A: Explained below

Q: d (sec-¹(2)) is equal to O O 1 2 √√4-1 1 In 2√4-1 O 1 √4¹-1 In 2 √4-1 In 2 2√4-1

A: Solution: ddxsec-1(2x) Apply the chain rule : df(u)dx=dfdu·dudx f=sec-1(u), u=2x =ddusec-1(u)ddx(2x)

Q: Solve: y (cosx)= (9+ y²)

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Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

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Q: Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t…

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Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

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Q: -1 Use Integration by Parts to find the indefinite integral cot ¹(a) de. -1 x cot ¹(x) + ln(x² + 1)…

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